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Interactions of breathers and rogue wave for the coupled Lakshmanan–Porsezian–Daniel equation
Interactions of nonlinear waves play a significant role in physical systems. In this work, we attain the interactions of breathers and rogue wave for...
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Dynamics of superregular breathers in the quintic nonlinear Schrödinger equation
In this paper, we consider an extended nonlinear Schrödinger equation that includes fifth-order dispersion with matching higher-order nonlinear...
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Frequency conversion dynamics of vector modulation instability in normal-dispersion high-birefringence fibers
We investigate the frequency conversion associated with the nonlinear stage of vector modulational instability in high-birefringence fibers with...
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In the Atmosphere and Oceanic Fluids: Scaling Transformations, Bilinear Forms, Bäcklund Transformations and Solitons for A Generalized Variable-Coefficient Korteweg-de Vries-Modified Korteweg-de Vries Equation
The atmosphere is an evolutionary agent essential to the sha** of a planet, while in oceanic science and daily life, liquids are commonly seen. In...
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Employing the dynamics of poles in the complex plane to describe properties of rogue waves: case studies using the Boussinesq and complex modified Korteweg–de Vries equations
The dynamics and properties of rogue waves of two classical evolution equations are studied in terms of trajectories of the poles of the exact...
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Transformed nonlinear waves, state transitions and modulation instability in a three-component AB model for the geophysical flows
In this paper, we investigate a three-component AB model, which characterizes the baroclinic instability processes in the geophysical flows. Via the...
